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3 years ago

Evaluate each expression 9y2 - 7 for y =3

Mathematics

1 answer:

lesantik [10]3 years ago

7 0

9 y² - 7 for y = 3

9 * 3² - 7 =

9 * 9 - 7 =

81 - 7 => 74

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What is the probability of selection for any man in a proportionate random sample, where a sample of 100 will be drawn from a po

kolbaska11 [484]

Working Principle: Stratified Random Sampling

nx = (Nx/N)*n

where:
nx = sample size for stratum x
Nx = population size for stratum x
N = total population size
n = total sample size

Given:

Nx = 100
N = 1000
n = 0.5*(1000) = 500

Required: Probability of Man to be selected

Solution:

nx = (Nx/N)*n
nx = (100/1000)*500 = 50 men

ny = (Nx/N)*n
ny = (100/1000)*500 = 50 women

Probability of Man to be selected = nx/(nx + ny)*100 = 50/(50+50)*100 = 50%

<em>ANSWER: 50%</em>

7 0

3 years ago

The value of w???????

goldenfox [79]

Answer:

Step-by-step explanation:

The angle bisector of a triangle divides the opposite side in 2 segments that are proportional to the other 2 sides of the triangle. Namely:

$\frac{15}{18}=\frac{w}{30}$ and cross multiply.

18w = 450 so

w = 25

4 0

2 years ago

Select the correct answer. Rectangle ABCD is dilated by a scale factor of 2 with the origin as the center of dilation, resulting

Natalija [7]

So I have a illustration

4 0

2 years ago

Read 2 more answers

A square pool has a side length of x feet.A uniform border around pool is 1 footwide.The total area of the pool and the border o

lions [1.4K]

The total area of pool and border = 361 square feet.

Length of square pool = x

Length of square pool plus border = (x + 1 +1 ) = x + 2

There is 1 foot length on each side on the x length.

The other length of the square pool and border = (x + 2)

Area = (x+2)(x+2)

   (x + 2)(x +2) = 361.    Let A = x +2

A*A = 361
    A² = 361    Take square root of both sides
   A = √361
   A = 19

A = x + 2 = 19
   x = 19 - 2
   x = 17

Area of square pool = x*x = 17*17 = 289

Area of the pool = 289 square feet.

8 0

2 years ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 50 feet cubed. A cylinder with height h a

Arada [10]

Answer:

Volume of the sphere is 66.67r/h

Step-by-step explanation:

Hello,

Volume of a sphere = ⁴/₃πr³

Volume of a cylinder = πr²h

The volume of the cylinder = 50ft³

But the cylinder and sphere both have the same radius and height

Volume of a cylinder = πr²h

50 = πr²h

Make r² the subject of formula

r² = 50/πh

Volume of a sphere = ⁴/₃πr³

Put r² into the volume of a sphere

Volume of a sphere = ⁴/₃π(50/πh)r

Volume of a sphere = ⁴/₃ × 50r/h

Volume of a sphere = ²⁰⁰/₃ r/h

Volume of a sphere = 66.67r/h

The volume of the sphere is 66.67r/h

7 0

3 years ago